Instruction 11-6
As part of an evaluation program,a sporting goods retailer wanted to compare the downhill coasting speeds of four brands of bicycles.She recorded three trials of each brand and determined their maximum downhill speeds.The results are presented in kilometres per hour in the table below.
$\begin{array}{lcccc}
\text { Trial } & \frac{\text { Barth }}{} & \frac{\text { Tomado }}{} & \frac{\text { Reiser }}{} & \frac{\text { Shaw }}{} \
1 & 43 & 37 & 41 & 43 \
2 & 46 & 38 & 45 & 45 \
3 & 43 & 39 & 42 & 46
\end{array}$
-Referring to Instruction 11-6,the test is robust to the violation of the assumption that the population of speeds is the normally distributed.

Question

Instruction 11-6
As part of an evaluation program,a sporting goods retailer wanted to compare the downhill coasting speeds of four brands of bicycles.She recorded three trials of each brand and determined their maximum downhill speeds.The results are presented in kilometres per hour in the table below.
 $\begin{array}{lcccc}
\text { Trial } & \frac{\text { Barth }}{} & \frac{\text { Tomado }}{} & \frac{\text { Reiser }}{} & \frac{\text { Shaw }}{} \
1 & 43 & 37 & 41 & 43 \
2 & 46 & 38 & 45 & 45 \
3 & 43 & 39 & 42 & 46
\end{array}$
-Referring to Instruction 11-6,the test is robust to the violation of the assumption that the population of speeds is the normally distributed.

Quizplus · Accepted Answer

The test is robust to violations of normality because it involves comparing means, and the Central Limit Theorem suggests that the sampling distribution of the mean will be approximately normal if the sample size is sufficiently large.

Instruction 11-6 as Part of an Evaluation Program,a Sporting Goods

Instruction 11-6
as Part of an Evaluation Program,a Sporting Goods